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Finding the Fourth Proportional to 261,732.81, 392,515.95 and 84,198.48

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Solution

The fourth proportional to 261,732.81, 392,515.95 and 84,198.48 is: 126,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,732.81 : 392,515.95 = 84,198.48 : x
  2. Step 2: Convert to fraction form
    261,732.81/392,515.95 = 84,198.48/x
  3. Step 3: Cross multiply
    261,732.81x = 392,515.95 × 84,198.48
  4. Step 4: Simplify right side
    261,732.81x = 33,049,246,365.76
  5. Step 5: Solve for x
    x = 33,049,246,365.76/261,732.81
  6. Step 6: Final answer
    x = 126,270.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.